March 20, 2024Open Access

6-torsion and integral points on quartic surfaces

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Abstract

We prove matching upper and lower bounds for the average of the 6-torsion of class groups of quadratic fields. Furthermore, we count the number of integer solutions on an affine quartic surface.

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Chan et al. (Wed,) studied this question.

synapsesocial.com/papers/68e733cdb6db6435876ad965 https://doi.org/https://doi.org/10.48550/arxiv.2403.13359

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